Search a number
-
+
1066857012 = 2232136913299
BaseRepresentation
bin111111100101101…
…111001000110100
32202100110221200200
4333211233020310
54141103411022
6253510240500
735303064204
oct7745571064
92670427620
101066857012
114a8238511
12259356130
13140048250
14a1992404
15639dabac
hex3f96f234

1066857012 has 72 divisors (see below), whose sum is σ = 2909306400. Its totient is φ = 327689280.

The previous prime is 1066856993. The next prime is 1066857019. The reversal of 1066857012 is 2107586601.

1066857012 is a `hidden beast` number, since 10 + 6 + 68 + 570 + 12 = 666.

It is a super-2 number, since 2×10668570122 = 2276367768107136288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066857019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321739 + ... + 325037.

Almost surely, 21066857012 is an apocalyptic number.

1066857012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066857012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454653200).

1066857012 is an abundant number, since it is smaller than the sum of its proper divisors (1842449388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1066857012 is a wasteful number, since it uses less digits than its factorization.

1066857012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1066857012 is about 32662.7771630031. Note that the first 3 decimals coincide. The cubic root of 1066857012 is about 1021.8066826701.

The spelling of 1066857012 in words is "one billion, sixty-six million, eight hundred fifty-seven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 691 1382 2073 2764 3299 4146 6219 6598 8292 8983 9897 12438 13196 17966 19794 24876 26949 29691 35932 39588 42887 53898 59382 80847 85774 107796 118764 128661 161694 171548 257322 323388 385983 514644 771966 1543932 2279609 4559218 6838827 9118436 13677654 20516481 27355308 29634917 41032962 59269834 82065924 88904751 118539668 177809502 266714253 355619004 533428506 1066857012